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1. S. F. Green, “ An acoustic technique for rapid temperature distribution measurement,” J. Acoust. Soc. Am. 77(2), 759763 (1985).
2. A. Kapur, A. Cummings, and P. Mungur, “ Sound propagation in a combustion can with axial temperature and density gradients,” J. Sound Vib. 25(1), 129138 (1972).
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7. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes: The Art of Scientific Computing, 3rd ed. ( Cambridge University Press, Cambridge, 2007), Chap. 18, pp. 959961.
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9. A. E. Eiben and J. E. Smith, Introduction to Evolutionary Computing ( Springer, Berlin, 2010), Chap. 4, pp. 7187.

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This work verifies the idea that in principle it is possible to reconstruct axial temperature distribution of fluid employing reflection or transmission of acoustic waves. It is assumed that the fluid is dissipationless and its density and speed of sound vary along the wave propagation direction because of the fluid temperature distribution. A numerical algorithm is proposed allowing for calculation of the temperature distribution on the basis of known frequency characteristics of reflection coefficient modulus. Functionality of the algorithm is illustrated on a few examples, its properties are discussed.


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